A comparative code study for quantum fault-tolerance

Abstract

We study a comprehensive list of quantum codes as candidates of codes to be used at the bottom, physical, level in a fault-tolerant code architecture. Using the Aliferis-Gottesman-Preskill (AGP) ex-Rec method we calculate the pseudo-threshold for these codes against depolarizing noise at various levels of overhead. We estimate the logical noise rate as a function of overhead at a physical error rate of $p_0=1\times 10^{-4}$. The Bacon-Shor codes and the Golay code are the best performers in our study.

v1: 33 pages, 16 figures. v2: 34 pages, several small corrections

Cited by in corpus (2)

• Robust measurement of wave function topology on NISQ quantum computers
• Simplifying errors by symmetry and randomisation